1011981676729 has 9 divisors (see below), whose sum is σ = 1014002678637. Its totient is φ = 1009964700864.

The previous prime is 1011981676711. The next prime is 1011981676837. The reversal of 1011981676729 is 9276761891101.

It is a happy number.

The square root of 1011981676729 is 1005973.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 41859114025 + 970122562704 = 204595^2 + 984948^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1011981676729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011981676229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1002954577 + ... + 1002955585.

It is an arithmetic number, because the mean of its divisors is an integer number (112666964293).

Almost surely, 2^{1011981676729} is an apocalyptic number.

1011981676729 is the 1005973-rd square number.

1011981676729 is the 502987-th centered octagonal number.

It is an amenable number.

1011981676729 is a deficient number, since it is larger than the sum of its proper divisors (2021001908).

1011981676729 is an frugal number, since it uses more digits than its factorization.

1011981676729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 58.

The spelling of 1011981676729 in words is "one trillion, eleven billion, nine hundred eighty-one million, six hundred seventy-six thousand, seven hundred twenty-nine".